Singular LQ Problem for Irregular Singular Systems
This paper is concerned with the singular LQ problem for irregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. By restricted system equivalence transformation, the system state is decomposed into free state a...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/853415 |
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| author | Qingxiang Fang Baolin Zhang Jun-e Feng |
| author_facet | Qingxiang Fang Baolin Zhang Jun-e Feng |
| author_sort | Qingxiang Fang |
| collection | DOAJ |
| description | This paper is concerned with the singular LQ problem for irregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. By restricted system equivalence transformation, the system state is decomposed into free state and restricted state and the input is decomposed into free input and forced input. Some sufficient conditions for the unique existence of optimal control-state pair are derived and these conditions are all described unitedly with matrix rank equalities. The optimal control-state pair can be explicitly formulated via solving an algebraic Riccati equation and a Sylvester equation. Moreover, under the optimal control-state pair, the resulting system has no free state. |
| format | Article |
| id | doaj-art-1d1066d04665495789289d29cf5fdf88 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1d1066d04665495789289d29cf5fdf882025-02-03T05:48:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/853415853415Singular LQ Problem for Irregular Singular SystemsQingxiang Fang0Baolin Zhang1Jun-e Feng2School of Science, China Jiliang University, Hangzhou 310018, ChinaSchool of Science, China Jiliang University, Hangzhou 310018, ChinaSchool of Mathematics, Shandong University, Jinan 310018, ChinaThis paper is concerned with the singular LQ problem for irregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. By restricted system equivalence transformation, the system state is decomposed into free state and restricted state and the input is decomposed into free input and forced input. Some sufficient conditions for the unique existence of optimal control-state pair are derived and these conditions are all described unitedly with matrix rank equalities. The optimal control-state pair can be explicitly formulated via solving an algebraic Riccati equation and a Sylvester equation. Moreover, under the optimal control-state pair, the resulting system has no free state.http://dx.doi.org/10.1155/2014/853415 |
| spellingShingle | Qingxiang Fang Baolin Zhang Jun-e Feng Singular LQ Problem for Irregular Singular Systems Journal of Applied Mathematics |
| title | Singular LQ Problem for Irregular Singular Systems |
| title_full | Singular LQ Problem for Irregular Singular Systems |
| title_fullStr | Singular LQ Problem for Irregular Singular Systems |
| title_full_unstemmed | Singular LQ Problem for Irregular Singular Systems |
| title_short | Singular LQ Problem for Irregular Singular Systems |
| title_sort | singular lq problem for irregular singular systems |
| url | http://dx.doi.org/10.1155/2014/853415 |
| work_keys_str_mv | AT qingxiangfang singularlqproblemforirregularsingularsystems AT baolinzhang singularlqproblemforirregularsingularsystems AT junefeng singularlqproblemforirregularsingularsystems |